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Finding the Fourth Proportional to 39.65, 54.78 and 30.94

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Solution

The fourth proportional to 39.65, 54.78 and 30.94 is: 42.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.65 : 54.78 = 30.94 : x
  2. Step 2: Convert to fraction form
    39.65/54.78 = 30.94/x
  3. Step 3: Cross multiply
    39.65x = 54.78 × 30.94
  4. Step 4: Simplify right side
    39.65x = 1,694.89
  5. Step 5: Solve for x
    x = 1,694.89/39.65
  6. Step 6: Final answer
    x = 42.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.